\contentsline {chapter}{\numberline {1}Theoretical Questions}{2}%
\contentsline {section}{\numberline {1.1}Width in bisection.}{2}%
\contentsline {section}{\numberline {1.2}Necessary steps of bisection $(a_0>0)$.}{2}%
\contentsline {section}{\numberline {1.3}Single precision in bisection.}{2}%
\contentsline {section}{\numberline {1.4}Four iterations of Newton's method.}{2}%
\contentsline {section}{\numberline {1.5}Variation of Newton's method.}{3}%
\contentsline {section}{\numberline {1.6}Convergence of $x_{n+1}=tan^{-1}x_n$.}{3}%
\contentsline {section}{\numberline {1.7}Prove the convergence of $x=\frac {\displaystyle 1}{p+{\displaystyle \frac 1{p+{\displaystyle \cdots }}}}$.}{3}%
\contentsline {section}{\numberline {1.8}Necessary steps of bisection $(a_0<0)$.}{3}%
\contentsline {section}{\numberline {1.9}Multiple zeros in Newton's method.}{4}%
\contentsline {chapter}{\numberline {2}Programming Assignments}{5}%
\contentsline {section}{\numberline {2.1}Assignment B}{5}%
\contentsline {section}{\numberline {2.2}Assignment C}{5}%
\contentsline {section}{\numberline {2.3}Assignment D}{5}%
\contentsline {section}{\numberline {2.4}Assignment E}{6}%
\contentsline {section}{\numberline {2.5}Assignment F}{6}%
